What is the Greatest Common Factor of 77700 and 77716?

Greatest common factor (GCF) of 77700 and 77716 is 4.

GCF(77700,77716) = 4

We will now calculate the prime factors of 77700 and 77716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77700 and 77716.

How to find the GCF of 77700 and 77716?

We will first find the prime factorization of 77700 and 77716. After we will calculate the factors of 77700 and 77716 and find the biggest common factor number .

Step-1: Prime Factorization of 77700

Prime factors of 77700 are 2, 3, 5, 7, 37. Prime factorization of 77700 in exponential form is:

77700 = 2² × 3¹ × 5² × 7¹ × 37¹

Step-2: Prime Factorization of 77716

Prime factors of 77716 are 2, 19429. Prime factorization of 77716 in exponential form is:

77716 = 2² × 19429¹

Step-3: Factors of 77700

List of positive integer factors of 77700 that divides 77700 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 37, 42, 50, 60, 70, 74, 75, 84, 100, 105, 111, 140, 148, 150, 175, 185, 210, 222, 259, 300, 350, 370, 420, 444, 518, 525, 555, 700, 740, 777, 925, 1036, 1050, 1110, 1295, 1554, 1850, 2100, 2220, 2590, 2775, 3108, 3700, 3885, 5180, 5550, 6475, 7770, 11100, 12950, 15540, 19425, 25900, 38850

Step-4: Factors of 77716

List of positive integer factors of 77716 that divides 77700 without a remainder.

1, 2, 4, 19429, 38858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77700 and 77716. The biggest common factor number is the GCF number.
So the greatest common factor 77700 and 77716 is 4.

Also check out the Least Common Multiple of 77700 and 77716